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Finding the Third Proportional to 30,478 and 45,717

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Solution

The third proportional to 30,478 and 45,717 is: 68,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478 : 45,717 = 45,717 : x
  2. Step 2: Convert to fraction form
    30,478/45,717 = 45,717/x
  3. Step 3: Cross multiply
    30,478x = 45,717 × 45,717
  4. Step 4: Simplify right side
    30,478x = 2,090,044,089
  5. Step 5: Solve for x
    x = 2,090,044,089/30,478
  6. Step 6: Final answer
    x = 68,575.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.